An elliptic boundary problem involving an indefinite weight

Authors
Faierman, M
Citation
M. Faierman, An elliptic boundary problem involving an indefinite weight, P RS EDIN A, 130, 2000, pp. 287-305
Citations number
22
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
130
Year of publication
2000
Part
2
Pages
287 - 305
Database
ISI
SICI code
0308-2105(2000)130:<287:AEBPIA>2.0.ZU;2-D
Abstract
The spectral theory for non-self-adjoint elliptic boundary problems involvi ng an indefinite weight function has only been established for the case of higher-order operators under the assumption that the reciprocal of the weig ht function is essentially bounded. In this paper we are concerned with the spectral theory for a case where the weight function vanishes on a set of positive measure.